Finite Group Databasebeta

← C2×#10589760 #11902863

Subgroups — C2×#10589760 #11902863

Order 1152.

1992 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C9×#123C211yesmaximal, characteristic, complemented
2C2×#63499C211yesmaximal, characteristic
3C2×D4×Dic9C211yesmaximal, characteristic, complemented
4C22×(C2×D9)⋊C4C211yesmaximal, characteristic, complemented
5C2×#63488C211yesmaximal, characteristic, complemented
6#10589760C2116yesmaximal, direct product factor
7C2×#63460C211yesmaximal, characteristic, complemented
8C2×#63460C211yesmaximal, characteristic, complemented
9C2×#63459C211yesmaximal, characteristic, complemented
10C2×#63454C211yesmaximal, characteristic, complemented
11C2×#63448C211yesmaximal, characteristic, complemented
12C2×#63447C211yesmaximal, characteristic, complemented
13C2×#63445C211yesmaximal, characteristic, complemented
14C2×#611⋊C4C211yesmaximal, characteristic, complemented
15C2×C22⋊C4×D9C211yesmaximal, characteristic, complemented
16C2×#63440C211yesmaximal, characteristic, complemented
17C2×#5658—31nomaximal
18C24×D9C2211yescharacteristic
19C22×D4×C9C2211yescharacteristic
20C23×C4×C9C2211yescharacteristic
21C22×#611C2211yescharacteristic
22C22×#611C2211yescharacteristic
23C23×Dic9C2211yescharacteristic
24C23×Dic9C2211yescharacteristic, complemented
25C22×C4×D9C2211yescharacteristic
26C22×C4×D9C2211yescharacteristic
27C22×Dic18C2211yescharacteristic, complemented
28C9×#123C2218yescomplemented
29C2×C9×C4⋊C4C2211yescharacteristic, complemented
30C2×C9×C4⋊C4C2211yescharacteristic, complemented
31C2×C9×C22⋊C4C2211yescharacteristic
32C2×C9×C22⋊C4C2211yescharacteristic, complemented
33C2×C9×C22⋊C4C2211yescharacteristic, complemented
34C2×#3676C2211yescharacteristic
35C2×#3676C2211yescharacteristic
36C2×#3676C2211yescharacteristic, complemented
37#63499C2218yes—
38D4×Dic9C2218yescomplemented
39C2×(C2×D9)⋊C4C2211yescharacteristic
40C2×(C2×D9)⋊C4C2211yescharacteristic
41C2×(C2×D9)⋊C4C2211yescharacteristic
42C2×(C2×D9)⋊C4C2211yescharacteristic
43C2×(C2×D9)⋊C4C2211yescharacteristic
44C2×(C2×D9)⋊C4C2211yescharacteristic
45C2×(C2×D9)⋊C4C2211yescharacteristic
46C2×(C2×D9)⋊C4C2211yescharacteristic
47C2×(C2×D9)⋊C4C2218yescomplemented
48#63488C2218yescomplemented
49C2×C4⋊Dic9C2211yescharacteristic, complemented
50C2×C4⋊Dic9C2211yescharacteristic, complemented
51C2×C4⋊Dic9C2211yescharacteristic, complemented
52C2×C4⋊Dic9C2211yescharacteristic, complemented
53C2×Dic9⋊C4C2211yescharacteristic, complemented
54C2×Dic9⋊C4C2211yescharacteristic, complemented
55C2×C4×Dic9C2211yescharacteristic, complemented
56C2×C4×Dic9C2211yescharacteristic, complemented
57C2×C4×Dic9C2211yescharacteristic, complemented
58#63460C2218yescomplemented
59#63460C2218yescomplemented
60#63459C2218yescomplemented
61#63454C2218yescomplemented
62#63448C2218yescomplemented
63#63447C2218yescomplemented
64#63445C2218yescomplemented
65#611⋊C4C2218yescomplemented
66C22⋊C4×D9C2218yescomplemented
67#63440C2218yescomplemented
68C2×C3×#123D311yescharacteristic
69C2×#937—31no—
70C2×D4×Dic3—31no—
71C22×(C2×D3)⋊C4—31no—
72C2×#926—31no—
73#5658—316no—
74C2×#898—31no—
75C2×#898—31no—
76C2×#897—31no—
77C2×#892—31no—
78C2×#886—31no—
79C2×#885—31no—
80C2×#883—31no—
81C2×#67⋊C4—31no—
82C2×D3×C22⋊C4—31no—
83C2×#878—31no—
84C24×C9C2311yescharacteristic
85C24×C9C2311yescharacteristic
86C23×D9—24no—
87C23×D9—24no—
88C23×D9—42no—
89C23×D9C2311yescharacteristic
90C23×D9C2314yes—
91C23×D9C2311yescharacteristic
92C2×D4×C9—24no—
93C2×D4×C9C2314yes—
94C22×C4×C9—24no—
95C22×C4×C9C2314yes—
96C22×C4×C9C2311yescharacteristic
97C22×C4×C9C2311yescharacteristic
98C22×C4×C9C2311yescharacteristic
99C22×C4×C9C2311yescharacteristic
100C22×C4×C9C2311yescharacteristic
101C2×#611—24no—
102C2×#611—42no—
103C2×#611C2314yes—
104C2×#611C2314yes—
105C22×Dic9—42no—
106C22×Dic9—42no—
107C22×Dic9C2311yescharacteristic
108C22×Dic9C2311yescharacteristic
109C22×Dic9C2311yescharacteristic
110C22×Dic9C2311yescharacteristic
111C22×Dic9C2311yescharacteristic
112C22×Dic9C2311yescharacteristic
113C22×Dic9C2314yes—
114C22×Dic9C2314yescomplemented
115C2×C4×D9—24no—
116C2×C4×D9—42no—
117C2×C4×D9C2314yes—
118C2×C4×D9C2314yes—
119C2×Dic18—42no—
120C2×Dic18C2314yescomplemented
121C9×C4⋊C4C2314yescomplemented
122C9×C4⋊C4C2314yescomplemented
123C9×C22⋊C4C2314yes—
124C9×C22⋊C4C2314yescomplemented
125C9×C22⋊C4C2314yescomplemented
126#3676C2314yes—
127#3676C2314yes—
128#3676C2314yescomplemented
129(C2×D9)⋊C4C2314yes—
130(C2×D9)⋊C4C2314yes—
131(C2×D9)⋊C4C2314yes—
132(C2×D9)⋊C4C2314yes—
133(C2×D9)⋊C4C2314yes—
134(C2×D9)⋊C4C2314yes—
135(C2×D9)⋊C4C2314yes—
136(C2×D9)⋊C4C2314yes—
137C4⋊Dic9C2314yescomplemented
138C4⋊Dic9C2314yescomplemented
139C4⋊Dic9C2314yescomplemented
140C4⋊Dic9C2314yescomplemented
141Dic9⋊C4C2314yescomplemented
142Dic9⋊C4C2314yescomplemented
143C4×Dic9C2314yescomplemented
144C4×Dic9C2314yescomplemented
145C4×Dic9C2314yescomplemented
146C2×#551—91noSylow
147C24×D3—31no—
148C22×C3×D4C2×D311yescharacteristic
149C23×C3×C4C2×D311yescharacteristic
150C22×#67—31no—
151C22×#67—31no—
152C23×Dic3—31no—
153C23×Dic3—31no—
154C22×C4×D3—31no—
155C22×C4×D3—31no—
156C22×Dic6—31no—
157C3×#123C2×D318yes—
158C2×C3×C4⋊C4C2×D311yescharacteristic
159C2×C3×C4⋊C4C2×D311yescharacteristic
160C2×C3×C22⋊C4C2×D311yescharacteristic
161C2×C3×C22⋊C4C2×D311yescharacteristic
162C2×C3×C22⋊C4C2×D311yescharacteristic
163C2×#217—31no—
164C2×#217—31no—
165C2×#217—31no—
166#937—38no—
167D4×Dic3—38no—
168C2×(C2×D3)⋊C4—31no—
169C2×(C2×D3)⋊C4—31no—
170C2×(C2×D3)⋊C4—31no—
171C2×(C2×D3)⋊C4—31no—
172C2×(C2×D3)⋊C4—31no—
173C2×(C2×D3)⋊C4—31no—
174C2×(C2×D3)⋊C4—31no—
175C2×(C2×D3)⋊C4—31no—
176C2×(C2×D3)⋊C4—38no—
177#926—38no—
178C2×C4⋊Dic3—31no—
179C2×C4⋊Dic3—31no—
180C2×C4⋊Dic3—31no—
181C2×C4⋊Dic3—31no—
182C2×Dic3⋊C4—31no—
183C2×Dic3⋊C4—31no—
184C2×C4×Dic3—31no—
185C2×C4×Dic3—31no—
186C2×C4×Dic3—31no—
187#898—38no—
188#898—38no—
189#897—38no—
190#892—38no—
191#886—38no—
192#885—38no—
193#883—38no—
194#67⋊C4—38no—
195D3×C22⋊C4—38no—
196#878—38no—
197C23×C9—22no—
198C23×C9—22no—
199C23×C9—22no—
200C23×C9—22no—
201C23×C9—22no—
202C23×C9#4114yes—
203C23×C9C2412yes—
204C23×C9C2412yes—
205C23×C9C2411yescharacteristic
206C22×D9—22no—
207C22×D9—22no—
208C22×D9—28no—
209C22×D9—22no—
210C22×D9—22no—
211C22×D9—22no—
212C22×D9—28no—
213C22×D9—44no—
214C22×D9—416no—
215C22×D9#4114yes—
216C22×D9C2412yes—
217C22×D9C2412yes—
218D4×C9—28no—
219C2×C4×C9—22no—
220C2×C4×C9—28no—
221C2×C4×C9—22no—
222C2×C4×C9—22no—
223C2×C4×C9—22no—
224C2×C4×C9—22no—
225C2×C4×C9C2412yes—
226C2×C4×C9C2412yes—
227C2×C4×C9C2412yes—
228C2×C4×C9C2412yes—
229C2×C4×C9C2412yes—
230#611—28no—
231#611—44no—
232C2×Dic9—22no—
233C2×Dic9—22no—
234C2×Dic9—22no—
235C2×Dic9—22no—
236C2×Dic9—22no—
237C2×Dic9—22no—
238C2×Dic9—44no—
239C2×Dic9—44no—
240C2×Dic9C2412yes—
241C2×Dic9C2412yes—
242C2×Dic9C2412yes—
243C2×Dic9C2412yes—
244C2×Dic9C2412yes—
245C2×Dic9C2412yes—
246C4×D9—28no—
247C4×D9—44no—
248Dic18—44no—
249#551—916no—
250C2×#126—91no—
251C2×#126—91no—
252C2×#124—91no—
253C2×#123—91no—
254C2×#123—91no—
255C2×#123D911yescharacteristic, complemented
256C2×C22⋊Q8—91no—
257C2×C22⋊Q8—91no—
258C2×#120—91no—
259C2×C4×D4—91no—
260C2×C4×D4—91no—
261C2×#117—91no—
262C2×#117—91no—
263C22×C22⋊C4—91no—
264C22×C22⋊C4—91no—
265C24×C3C22×D311yescharacteristic
266C24×C3C22×D311yescharacteristic
267C23×D3—31no—
268C23×D3—31no—
269C23×D3—34no—
270C23×D3—64no—
271C23×D3—64no—
272C23×D3—122no—
273C2×C3×D4—24no—
274C2×C3×D4C22×D314yes—
275C22×C3×C4—24no—
276C22×C3×C4C22×D311yescharacteristic
277C22×C3×C4C22×D311yescharacteristic
278C22×C3×C4C22×D311yescharacteristic
279C22×C3×C4C22×D311yescharacteristic
280C22×C3×C4C22×D311yescharacteristic
281C22×C3×C4C22×D314yes—
282C2×#67—34no—
283C2×#67—34no—
284C2×#67—64no—
285C2×#67—122no—
286C22×Dic3—31no—
287C22×Dic3—31no—
288C22×Dic3—31no—
289C22×Dic3—31no—
290C22×Dic3—31no—
291C22×Dic3—31no—
292C22×Dic3—34no—
293C22×Dic3—34no—
294C22×Dic3—122no—
295C22×Dic3—122no—
296C2×C4×D3—34no—
297C2×C4×D3—34no—
298C2×C4×D3—64no—
299C2×C4×D3—122no—
300C2×Dic6—34no—
301C2×Dic6—122no—
302C3×C4⋊C4C22×D314yes—
303C3×C4⋊C4C22×D314yes—
304C3×C22⋊C4C22×D314yes—
305C3×C22⋊C4C22×D314yes—
306C3×C22⋊C4C22×D314yes—
307#217—34no—
308#217—34no—
309#217—34no—
310(C2×D3)⋊C4—34no—
311(C2×D3)⋊C4—34no—
312(C2×D3)⋊C4—34no—
313(C2×D3)⋊C4—34no—
314(C2×D3)⋊C4—34no—
315(C2×D3)⋊C4—34no—
316(C2×D3)⋊C4—34no—
317(C2×D3)⋊C4—34no—
318C4⋊Dic3—34no—
319C4⋊Dic3—34no—
320C4⋊Dic3—34no—
321C4⋊Dic3—34no—
322Dic3⋊C4—34no—
323Dic3⋊C4—34no—
324C4×Dic3—34no—
325C4×Dic3—34no—
326C4×Dic3—34no—
327C22×C9—28no—
328C22×C9—22no—
329C22×C9—22no—
330C22×C9—22no—
331C22×C9—22no—
332C22×C9—22no—
333C22×C9—44no—
334C22×C9C2×#4114yes—
335C22×C9C2×#4112yes—
336C22×C9C2×#4112yes—
337C22×C9H(5,𝔽2)12yes—
338C22×C9C2511yescharacteristic
339C2×D9—28no—
340C2×D9—22no—
341C2×D9—22no—
342C2×D9—22no—
343C2×D9—22no—
344C2×D9—22no—
345C2×D9—416no—
346C2×D9—44no—
347C2×D9C2×#4114yes—
348C4×C9—22no—
349C4×C9—22no—
350C4×C9—22no—
351C4×C9—22no—
352C4×C9—22no—
353Dic9—22no—
354Dic9—22no—
355Dic9—22no—
356Dic9—22no—
357Dic9—22no—
358Dic9—22no—
359C25—91no—
360C22×Q8—91no—
361C22×D4—91no—
362C22×D4—91no—
363C22×D4C2×D911yescharacteristic
364C23×C4—91no—
365C23×C4—91no—
366C23×C4—91no—
367C23×C4—91no—
368C23×C4C2×D911yescharacteristic
369#126—98no—
370#126—98no—
371#124—98no—
372#123—98no—
373#123—98no—
374#123C2×D918yescomplemented
375C22⋊Q8—98no—
376C22⋊Q8—98no—
377#120—98no—
378C4×D4—98no—
379C4×D4—98no—
380#117—98no—
381#117—98no—
382C2×C4⋊C4—91no—
383C2×C4⋊C4—91no—
384C2×C4⋊C4—91no—
385C2×C4⋊C4—91no—
386C2×C4⋊C4—91no—
387C2×C4⋊C4—91no—
388C2×C4⋊C4C2×D911yescharacteristic, complemented
389C2×C4⋊C4C2×D911yescharacteristic, complemented
390C2×C22⋊C4—91no—
391C2×C22⋊C4—91no—
392C2×C22⋊C4—91no—
393C2×C22⋊C4—91no—
394C2×C22⋊C4—91no—
395C2×C22⋊C4—91no—
396C2×C22⋊C4—91no—
397C2×C22⋊C4—91no—
398C2×C22⋊C4—91no—
399C2×C22⋊C4—98no—
400C2×C22⋊C4—91no—
401C2×C22⋊C4—91no—
402C2×C22⋊C4—98no—
403C2×C22⋊C4C2×D911yescharacteristic
404C2×C22⋊C4C2×D911yescharacteristic, complemented
405C2×C22⋊C4C2×D911yescharacteristic, complemented
406C2×C42—91no—
407C2×C42—91no—
408C2×C42—91no—
409C23×C3—22no—
410C23×C3—22no—
411C23×C3—22no—
412C23×C3—22no—
413C23×C3—22no—
414C23×C3#23714yes—
415C23×C3C23×D312yes—
416C23×C3C23×D312yes—
417C23×C3C23×D311yescharacteristic
418C22×D3—34no—
419C22×D3—32no—
420C22×D3—32no—
421C22×D3—68no—
422C22×D3—62no—
423C22×D3—62no—
424C22×D3—68no—
425C22×D3—62no—
426C22×D3—62no—
427C22×D3—62no—
428C22×D3—124no—
429C22×D3—1216no—
430C3×D4—28no—
431C2×C3×C4—28no—
432C2×C3×C4—22no—
433C2×C3×C4—22no—
434C2×C3×C4—22no—
435C2×C3×C4—22no—
436C2×C3×C4—22no—
437C2×C3×C4C23×D312yes—
438C2×C3×C4C23×D312yes—
439C2×C3×C4C23×D312yes—
440C2×C3×C4C23×D312yes—
441C2×C3×C4C23×D312yes—
442#67—68no—
443#67—124no—
444C2×Dic3—32no—
445C2×Dic3—32no—
446C2×Dic3—32no—
447C2×Dic3—32no—
448C2×Dic3—32no—
449C2×Dic3—32no—
450C2×Dic3—62no—
451C2×Dic3—62no—
452C2×Dic3—62no—
453C2×Dic3—62no—
454C2×Dic3—62no—
455C2×Dic3—62no—
456C2×Dic3—124no—
457C2×Dic3—124no—
458C4×D3—68no—
459C4×D3—124no—
460Dic6—124no—
461C2×C9—24no—
462C2×C9—42no—
463C2×C9#55114yescomplemented
464C2×C9C22×#4111yescharacteristic
465C2×C9C22×#4111yescharacteristic
466C2×C9C2×H(5,𝔽2)11yescharacteristic
467D9—24no—
468D9—42no—
469C24—91no—
470C24—91no—
471C24—94no—
472C24—184no—
473C24—184no—
474C24—362no—
475C24C22×D911yescharacteristic
476C24C22×D911yescharacteristic
477C2×Q8—94no—
478C2×Q8—362no—
479C2×D4—24no—
480C2×D4—94no—
481C2×D4—94no—
482C2×D4—184no—
483C2×D4—362no—
484C2×D4C22×D914yes—
485C22×C4—24no—
486C22×C4—91no—
487C22×C4—91no—
488C22×C4—91no—
489C22×C4—91no—
490C22×C4—91no—
491C22×C4—91no—
492C22×C4—94no—
493C22×C4—94no—
494C22×C4—94no—
495C22×C4—94no—
496C22×C4—184no—
497C22×C4—362no—
498C22×C4—362no—
499C22×C4—362no—
500C22×C4C22×D914yes—
501C22×C4C22×D911yescharacteristic
502C22×C4C22×D911yescharacteristic
503C22×C4C22×D911yescharacteristic
504C22×C4C22×D911yescharacteristic
505C22×C4C22×D911yescharacteristic
506C4⋊C4—94no—
507C4⋊C4—94no—
508C4⋊C4—94no—
509C4⋊C4—94no—
510C4⋊C4—94no—
511C4⋊C4—94no—
512C4⋊C4C22×D914yescomplemented
513C4⋊C4C22×D914yescomplemented
514C22⋊C4—94no—
515C22⋊C4—94no—
516C22⋊C4—94no—
517C22⋊C4—94no—
518C22⋊C4—94no—
519C22⋊C4—94no—
520C22⋊C4—94no—
521C22⋊C4—94no—
522C22⋊C4—94no—
523C22⋊C4—94no—
524C22⋊C4—94no—
525C22⋊C4C22×D914yes—
526C22⋊C4C22×D914yescomplemented
527C22⋊C4C22×D914yescomplemented
528C42—94no—
529C42—94no—
530C42—94no—
531C22×C3—28no—
532C22×C3—22no—
533C22×C3—22no—
534C22×C3—22no—
535C22×C3—22no—
536C22×C3—22no—
537C22×C3—44no—
538C22×C3C2×#23714yes—
539C22×C3C2×#23712yes—
540C22×C3D3×#4112yes—
541C22×C3#100912yes—
542C22×C3C24×D311yescharacteristic
543C2×D3—34no—
544C2×D3—68no—
545C2×D3—62no—
546C2×D3—62no—
547C2×D3—62no—
548C2×D3—62no—
549C2×D3—62no—
550C2×D3—1216no—
551C2×D3—124no—
552C3×C4—22no—
553C3×C4—22no—
554C3×C4—22no—
555C3×C4—22no—
556C3×C4—22no—
557Dic3—62no—
558Dic3—62no—
559Dic3—62no—
560Dic3—62no—
561Dic3—62no—
562Dic3—62no—
563C9C2×#55111yescharacteristic, complemented, Sylow
564C23—22no—
565C23—22no—
566C23—22no—
567C23—22no—
568C23—22no—
569C23—92no—
570C23—94no—
571C23—92no—
572C23—188no—
573C23—182no—
574C23—182no—
575C23—188no—
576C23—182no—
577C23—182no—
578C23—182no—
579C23—364no—
580C23—3616no—
581C23#369914yes—
582C23C23×D912yes—
583C23C23×D912yes—
584C23C23×D911yescharacteristic
585Q8—364no—
586D4—28no—
587D4—188no—
588D4—364no—
589C2×C4—28no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—92no—
596C2×C4—92no—
597C2×C4—92no—
598C2×C4—92no—
599C2×C4—92no—
600C2×C4—92no—
601C2×C4—188no—
602C2×C4—182no—
603C2×C4—182no—
604C2×C4—182no—
605C2×C4—182no—
606C2×C4—182no—
607C2×C4—182no—
608C2×C4—364no—
609C2×C4—364no—
610C2×C4—364no—
611C2×C4C23×D912yes—
612C2×C4C23×D912yes—
613C2×C4C23×D912yes—
614C2×C4C23×D912yes—
615C2×C4C23×D912yes—
616C2×C3—24no—
617C2×C3—42no—
618C2×C3#565814yes—
619C2×C3C22×#23711yescharacteristic
620C2×C3C2×D3×#4111yescharacteristic
621C2×C3C2×#100911yescharacteristic
622D3—64no—
623D3—122no—
624C22—28no—
625C22—22no—
626C22—22no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—44no—
631C22—94no—
632C22—188no—
633C22—182no—
634C22—182no—
635C22—182no—
636C22—182no—
637C22—182no—
638C22—3616no—
639C22—364no—
640C22C2×#369914yes—
641C22C2×#369912yes—
642C22#41×D912yes—
643C22#6371512yes—
644C22C24×D911yescharacteristic
645C4—22no—
646C4—22no—
647C4—22no—
648C4—22no—
649C4—22no—
650C4—182no—
651C4—182no—
652C4—182no—
653C4—182no—
654C4—182no—
655C4—182no—
656C3C2×#565811yescharacteristic
657C2—24no—
658C2—42no—
659C2—184no—
660C2—362no—
661C2#1058976014yesdirect product factor
662C2C22×#369911yescharacteristic
663C2C2×#41×D911yescharacteristic
664C2C2×#6371511yescharacteristic
subgroupG/H
centerC23C23×D9
commutator, cosocleC22×C9C25
FrattiniC22×C3C24×D3
FittingC2×C9×#123C2
socleC23×C3C23×D3
prime radicalC2×#63499C2
hypercenterC2×#123D9
hypocenterC9C2×#551
LCSG ▷ C22×C9 ▷ C9
UCSC1 ◁ C23 ◁ C2×#123

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×C9×#123C2semidirect
3. C2×D4×Dic9C2semidirect
4. C22×(C2×D9)⋊C4C2semidirect
5. C2×#63488C2semidirect
6. #10589760C2direct (N × H)
7. C2×#63460C2semidirect
8. C2×#63460C2semidirect
9. C2×#63459C2semidirect
10. C2×#63454C2semidirect
11. C2×#63448C2semidirect
12. C2×#63447C2semidirect
13. C2×#63445C2semidirect
14. C2×#611⋊C4C2semidirect
15. C2×C22⋊C4×D9C2semidirect
16. C2×#63440C2semidirect
24. C23×Dic9C22semidirect
27. C22×Dic18C22semidirect
28. C9×#123C22semidirect
29. C2×C9×C4⋊C4C22semidirect
30. C2×C9×C4⋊C4C22semidirect
32. C2×C9×C22⋊C4C22semidirect
33. C2×C9×C22⋊C4C22semidirect
36. C2×#3676C22semidirect
38. D4×Dic9C22semidirect
47. C2×(C2×D9)⋊C4C22semidirect
48. #63488C22semidirect
49. C2×C4⋊Dic9C22semidirect
50. C2×C4⋊Dic9C22semidirect
51. C2×C4⋊Dic9C22semidirect
52. C2×C4⋊Dic9C22semidirect
53. C2×Dic9⋊C4C22semidirect
54. C2×Dic9⋊C4C22semidirect
55. C2×C4×Dic9C22semidirect
56. C2×C4×Dic9C22semidirect
57. C2×C4×Dic9C22semidirect
58. #63460C22semidirect
59. #63460C22semidirect
60. #63459C22semidirect
61. #63454C22semidirect
62. #63448C22semidirect
63. #63447C22semidirect
64. #63445C22semidirect
65. #611⋊C4C22semidirect
66. C22⋊C4×D9C22semidirect
67. #63440C22semidirect
114. C22×Dic9C23semidirect
120. C2×Dic18C23semidirect
121. C9×C4⋊C4C23semidirect
122. C9×C4⋊C4C23semidirect
124. C9×C22⋊C4C23semidirect
125. C9×C22⋊C4C23semidirect
128. #3676C23semidirect
137. C4⋊Dic9C23semidirect
138. C4⋊Dic9C23semidirect
139. C4⋊Dic9C23semidirect
140. C4⋊Dic9C23semidirect
141. Dic9⋊C4C23semidirect
142. Dic9⋊C4C23semidirect
143. C4×Dic9C23semidirect
144. C4×Dic9C23semidirect
145. C4×Dic9C23semidirect
255. C2×#123D9semidirect
374. #123C2×D9semidirect
388. C2×C4⋊C4C2×D9semidirect
389. C2×C4⋊C4C2×D9semidirect
404. C2×C22⋊C4C2×D9semidirect
405. C2×C22⋊C4C2×D9semidirect
463. C2×C9#551semidirect
512. C4⋊C4C22×D9semidirect
513. C4⋊C4C22×D9semidirect
526. C22⋊C4C22×D9semidirect
527. C22⋊C4C22×D9semidirect
563. C9C2×#551semidirect
661. C2#10589760direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×C9×#1232
C2×#634992
C2×D4×Dic92
C22×(C2×D9)⋊C42
C2×#634882
#105897602
C2×#634602
C2×#634592
C2×#634542
C2×#634482
C2×#634472
C2×#634452
C2×#611⋊C42
C2×C22⋊C4×D92
C2×#634402
C2×#56583